Description

WordPressdotorg\Plugin_Directory\Admin\Customizations::save_custom_comment() (or wp_ajax_replyto_comment() sets the type if $_POST['comment_type'] is set but wp_comment_reply() doesn't define a comment_type field.

To make it work on edit.php and edit-comments.php we could add a check to preprocess_comment which sets comment_type if $commentdata['comment_parent'] is an ID for an internal note.